Question

How do you simplify `(−a^6−5a^3+4a^2)+(−6a^6+5a^5−4a^2)`?

Answer 1

`color(blue)(-7a^6) −5a^3+5a^5`

Explanation:

`−a^6−5a^3+4a^2 −6a^6+5a^5−4a^2`

Grouping like terms:

`color(blue)(−a^6−6a^6) +color(red)(4a^2-4a^2)−5a^3+5a^5`

`= color(blue)(-7a^6) +color(red)(0) −5a^3+5a^5`
`= color(blue)(-7a^6) −5a^3+5a^5`